Editor-in-Chief: Kiguradze, Ivan / Shervashidze, T.
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1Department of Mathematical Analysis, Faculty of Natural Sciences of Masaryk University, Janackovo nam. 2a, 662 95 Brno, Czech Republic. E-mail: bacho@math.muni.cz
2Dipartimento di Matematica, Universita di Modena, Via Campi 213/B, 41100, Modena, Italy. E-mail: malaguti@unimo.it
Citation Information: Georgian Mathematical Journal. Volume 7, Issue 1, Pages 133–154, ISSN (Online) 1072-9176, ISSN (Print) 1072-947X, DOI: 10.1515/GMJ.2000.133, February 2010
Criteria for the existence and uniqueness of a solution of the boundary value problem
are established, where ƒ :]a, b[×R 2 → R satisfies the local Carathéodory conditions, and μ : [a, b] → R is the function of bounded variation. These criteria apply to the case where the function ƒ has nonintegrable singularities in the first argument at the points a and b.
Key words and phrases.: Second order singular equation; nonlocal boundary value problem
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